639 lines
26 KiB
TypeScript
639 lines
26 KiB
TypeScript
import Formula, { GenericFormula, InvertibleFormula, unrefFormulaSource } from "game/formulas";
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import Decimal, { DecimalSource, format } from "util/bignum";
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import { beforeAll, describe, expect, test } from "vitest";
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import { Ref, ref } from "vue";
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type FormulaFunctions = keyof GenericFormula & keyof typeof Formula & keyof typeof Decimal;
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expect.extend({
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compare_tolerance(received, expected) {
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const { isNot } = this;
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let pass = false;
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if (!Decimal.isFinite(expected)) {
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pass = !Decimal.isFinite(received);
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} else if (Decimal.isNaN(expected)) {
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pass = Decimal.isNaN(received);
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} else {
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pass = Decimal.eq_tolerance(received, expected);
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}
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return {
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// do not alter your "pass" based on isNot. Vitest does it for you
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pass,
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message: () =>
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`Expected ${received} to${
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(isNot as boolean) ? " not" : ""
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} be close to ${expected}`,
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expected: format(expected),
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actual: format(received)
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};
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}
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});
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interface CustomMatchers<R = unknown> {
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compare_tolerance(expected: DecimalSource): R;
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}
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declare global {
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// eslint-disable-next-line @typescript-eslint/no-namespace
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namespace Vi {
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// eslint-disable-next-line @typescript-eslint/no-empty-interface
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interface Assertion extends CustomMatchers {}
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// eslint-disable-next-line @typescript-eslint/no-empty-interface
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interface AsymmetricMatchersContaining extends CustomMatchers {}
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}
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}
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function testConstant(
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desc: string,
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formulaFunc: () => InvertibleFormula,
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expectedValue: DecimalSource = 10
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) {
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describe(desc, () => {
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let formula: GenericFormula;
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beforeAll(() => {
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formula = formulaFunc();
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});
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test("Evaluates correctly", () =>
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expect(formula.evaluate()).compare_tolerance(expectedValue));
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test("Invert is pass-through", () => expect(formula.invert(25)).compare_tolerance(25));
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test("Is not marked as having a variable", () => expect(formula.hasVariable()).toBe(false));
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});
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}
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function testFormula<T extends FormulaFunctions>(
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functionName: T,
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args: Readonly<Parameters<typeof Formula[T]>>,
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invertible = true
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) {
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let formula: GenericFormula;
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beforeAll(() => {
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// eslint-disable-next-line @typescript-eslint/ban-ts-comment
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// @ts-ignore
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formula = Formula[functionName](...args);
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});
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test("Formula is not marked as having a variable", () =>
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expect(formula.hasVariable()).toBe(false));
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test(`Formula is${invertible ? "" : " not"} invertible`, () =>
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expect(formula.isInvertible()).toBe(invertible));
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if (invertible) {
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test(`Formula throws if inverting without any variables`, () =>
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expect(() => formula.invert(10)).toThrow());
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}
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}
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// Utility function that will test all the different
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// It's a lot of tests, but I'd rather be exhaustive
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function testFormulaCall<T extends FormulaFunctions>(
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functionName: T,
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args: Readonly<Parameters<typeof Formula[T]>>
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) {
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let testName = functionName + "(";
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for (let i = 0; i < args.length; i++) {
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if (i !== 0) {
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testName += ", ";
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}
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testName += args[i];
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}
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testName += ") evaluates correctly";
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test(testName, () => {
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// eslint-disable-next-line @typescript-eslint/ban-ts-comment
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// @ts-ignore
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const formula = Formula[functionName](...args);
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try {
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const expectedEvaluation = Decimal[functionName](
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// eslint-disable-next-line @typescript-eslint/ban-ts-comment
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// @ts-ignore
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...args.map(i => unrefFormulaSource(i))
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);
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if (expectedEvaluation != null) {
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expect(formula.evaluate()).compare_tolerance(expectedEvaluation);
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}
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} catch {
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// If this is an invalid Decimal operation, then ignore this test case
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}
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});
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}
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function testAliases<T extends FormulaFunctions>(
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aliases: T[],
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args: Parameters<typeof Formula[T]>
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) {
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describe(aliases[0], () => {
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let formula: GenericFormula;
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beforeAll(() => {
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// eslint-disable-next-line @typescript-eslint/ban-ts-comment
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// @ts-ignore
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formula = Formula[aliases[0]](...args);
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});
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aliases.slice(1).forEach(alias => {
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// eslint-disable-next-line @typescript-eslint/ban-ts-comment
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// @ts-ignore
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test(alias, () => expect(Formula[alias](...args).equals(formula)).toBe(true));
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});
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});
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}
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const testValues = ["-1e400", 0, 0.25] as const;
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const invertibleZeroParamFunctionNames = [
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"neg",
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"recip",
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"log10",
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"log2",
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"ln",
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"pow10",
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"exp",
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"sqr",
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"sqrt",
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"cube",
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"cbrt",
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"lambertw",
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"ssqrt",
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"sin",
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"cos",
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"tan",
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"asin",
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"acos",
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"atan",
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"sinh",
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"cosh",
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"tanh",
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"asinh",
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"acosh",
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"atanh"
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] as const;
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const nonInvertibleZeroParamFunctionNames = [
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"abs",
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"sign",
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"round",
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"floor",
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"ceil",
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"trunc",
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"pLog10",
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"absLog10",
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"factorial",
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"gamma",
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"lngamma"
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] as const;
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const invertibleOneParamFunctionNames = [
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"add",
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"sub",
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"mul",
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"div",
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"log",
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"pow",
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"root",
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"slog"
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] as const;
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const nonInvertibleOneParamFunctionNames = [
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"max",
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"min",
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"maxabs",
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"minabs",
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"clampMin",
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"clampMax",
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"layeradd10"
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] as const;
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const invertibleTwoParamFunctionNames = ["tetrate", "layeradd", "iteratedexp"] as const;
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const nonInvertibleTwoParamFunctionNames = ["clamp", "iteratedlog", "pentate"] as const;
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describe("Formula Equality Checking", () => {
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describe("Equality Checks", () => {
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test("Equals", () => Formula.add(1, 1).equals(Formula.add(1, 1)));
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test("Not Equals due to inputs", () => Formula.add(1, 1).equals(Formula.add(1, 0)));
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test("Not Equals due to functions", () => Formula.add(1, 1).equals(Formula.sub(1, 1)));
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test("Not Equals due to hasVariable", () =>
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Formula.constant(1).equals(Formula.variable(1)));
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});
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describe("Formula aliases", () => {
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testAliases(["neg", "negate", "negated"], [1]);
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testAliases(["recip", "reciprocal", "reciprocate"], [1]);
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testAliases(["sign", "sgn"], [1]);
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testAliases(["add", "plus"], [1, 1]);
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testAliases(["sub", "subtract", "minus"], [1, 1]);
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testAliases(["mul", "multiply", "times"], [1, 1]);
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testAliases(["div", "divide"], [1, 1]);
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testAliases(["log", "logarithm"], [1, 1]);
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});
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describe("Instance vs Static methods", () => {
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let formula: GenericFormula;
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beforeAll(() => {
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formula = Formula.constant(10);
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});
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[...invertibleZeroParamFunctionNames, ...nonInvertibleZeroParamFunctionNames].forEach(
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name => {
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test(name, () => {
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const instanceFormula = formula[name]();
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const staticFormula = Formula[name](formula);
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expect(instanceFormula.equals(staticFormula)).toBe(true);
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});
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}
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);
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[...invertibleOneParamFunctionNames, ...nonInvertibleOneParamFunctionNames].forEach(
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name => {
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test(name, () => {
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const instanceFormula = formula[name](10);
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const staticFormula = Formula[name](formula, 10);
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expect(instanceFormula.equals(staticFormula)).toBe(true);
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});
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}
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);
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[...invertibleTwoParamFunctionNames, ...nonInvertibleTwoParamFunctionNames].forEach(
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name => {
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test(name, () => {
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const instanceFormula = formula[name](1, 1);
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const staticFormula = Formula[name](formula, 1, 1);
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expect(instanceFormula.equals(staticFormula)).toBe(true);
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});
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}
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);
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});
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});
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describe("Creating Formulas", () => {
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describe("Constants", () => {
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testConstant("number", () => Formula.constant(10));
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testConstant("string", () => Formula.constant("10"));
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testConstant("formula", () => Formula.constant(Formula.constant(10)));
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testConstant("decimal", () => Formula.constant(new Decimal("1e400")), "1e400");
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testConstant("ref", () => Formula.constant(ref(10)));
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});
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describe("Invertible 0-param", () => {
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invertibleZeroParamFunctionNames.forEach(names =>
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describe(names, () => {
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testFormula(names, [0] as const);
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testValues.forEach(i => testFormulaCall(names, [i] as const));
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})
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);
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});
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describe("Non-Invertible 0-param", () => {
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nonInvertibleZeroParamFunctionNames.forEach(names =>
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describe(names, () => {
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testFormula(names, [0] as const, false);
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testValues.forEach(i => testFormulaCall(names, [i] as const));
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})
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);
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});
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describe("Invertible 1-param", () => {
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invertibleOneParamFunctionNames.forEach(names =>
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describe(names, () => {
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testFormula(names, [0, 0] as const);
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testValues.forEach(i =>
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testValues.forEach(j => testFormulaCall(names, [i, j] as const))
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);
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})
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);
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});
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describe("Non-Invertible 1-param", () => {
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nonInvertibleOneParamFunctionNames.forEach(names =>
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describe(names, () => {
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testFormula(names, [0, 0] as const, false);
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testValues.forEach(i =>
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testValues.forEach(j => testFormulaCall(names, [i, j] as const))
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);
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})
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);
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});
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describe("Invertible 2-param", () => {
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invertibleTwoParamFunctionNames.forEach(names =>
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describe(names, () => {
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testFormula(names, [0, 0, 0] as const);
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testValues.forEach(i =>
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testValues.forEach(j =>
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testValues.forEach(k => testFormulaCall(names, [i, j, k] as const))
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)
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);
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})
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);
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});
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describe("Non-Invertible 2-param", () => {
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nonInvertibleTwoParamFunctionNames.forEach(names =>
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describe(names, () => {
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testFormula(names, [0, 0, 0] as const, false);
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testValues.forEach(i =>
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testValues.forEach(j =>
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testValues.forEach(k => testFormulaCall(names, [i, j, k] as const))
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)
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);
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})
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);
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});
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});
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describe("Variables", () => {
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let variable: GenericFormula;
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let constant: GenericFormula;
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beforeAll(() => {
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variable = Formula.variable(10);
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constant = Formula.constant(10);
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});
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test("Created variable is marked as a variable", () =>
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expect(variable.hasVariable()).toBe(true));
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test("Evaluate() returns variable's value", () =>
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expect(variable.evaluate()).compare_tolerance(10));
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test("Invert() is pass-through", () => expect(variable.invert(100)).compare_tolerance(100));
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test("Nested variable is marked as having a variable", () =>
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expect(variable.add(10).div(3).pow(2).hasVariable()).toBe(true));
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test("Nested non-variable is marked as not having a variable", () =>
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expect(constant.add(10).div(3).pow(2).hasVariable()).toBe(false));
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describe("Invertible Formulas correctly calculate when they contain a variable", () => {
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function checkFormula(formula: GenericFormula, expectedBool = true) {
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expect(formula.isInvertible()).toBe(expectedBool);
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expect(formula.hasVariable()).toBe(expectedBool);
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}
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invertibleZeroParamFunctionNames.forEach(name => {
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describe(name, () => {
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test(`${name}(var) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](variable)));
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});
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});
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invertibleOneParamFunctionNames.forEach(name => {
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describe(name, () => {
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test(`${name}(var, const) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](variable, constant)));
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test(`${name}(const, var) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](constant, variable)));
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test(`${name}(var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable), false));
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});
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});
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invertibleTwoParamFunctionNames.forEach(name => {
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describe(name, () => {
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test(`${name}(var, const, const) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](variable, constant, constant)));
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test(`${name}(const, var, const) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](constant, variable, constant)));
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test(`${name}(const, const, var) is marked as invertible and having a variable`, () =>
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checkFormula(Formula[name](constant, constant, variable)));
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test(`${name}(var, var, const) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable, constant), false));
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test(`${name}(var, const, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, constant, variable), false));
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test(`${name}(const, var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](constant, variable, variable), false));
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test(`${name}(var, var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable, variable), false));
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});
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});
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});
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describe("Non-Invertible Formulas never marked as having a variable", () => {
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function checkFormula(formula: GenericFormula) {
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expect(formula.isInvertible()).toBe(false);
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expect(formula.hasVariable()).toBe(false);
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}
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nonInvertibleZeroParamFunctionNames.forEach(name => {
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describe(name, () => {
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test(`${name}(var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable)));
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});
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});
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nonInvertibleOneParamFunctionNames.forEach(name => {
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describe(name, () => {
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test(`${name}(var, const) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, constant)));
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test(`${name}(const, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](constant, variable)));
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test(`${name}(var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable)));
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});
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});
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nonInvertibleTwoParamFunctionNames.forEach(name => {
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describe(name, () => {
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test(`${name}(var, const, const) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, constant, constant)));
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test(`${name}(const, var, const) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](constant, variable, constant)));
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test(`${name}(const, const, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](constant, constant, variable)));
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test(`${name}(var, var, const) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable, constant)));
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test(`${name}(var, const, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, constant, variable)));
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test(`${name}(const, var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](constant, variable, variable)));
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test(`${name}(var, var, var) is marked as not invertible and not having a variable`, () =>
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checkFormula(Formula[name](variable, variable, variable)));
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});
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});
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});
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describe("Inverting calculates the value of the variable", () => {
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let variable: GenericFormula;
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let constant: GenericFormula;
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beforeAll(() => {
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variable = Formula.variable(2);
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constant = Formula.constant(3);
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});
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invertibleOneParamFunctionNames.forEach(name =>
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describe(name, () => {
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test(`${name}(var, const).invert()`, () => {
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const formula = Formula[name](variable, constant);
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const result = formula.evaluate();
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expect(formula.invert(result)).compare_tolerance(2);
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});
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test(`${name}(const, var).invert()`, () => {
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const formula = Formula[name](constant, variable);
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const result = formula.evaluate();
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expect(formula.invert(result)).compare_tolerance(2);
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});
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})
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);
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invertibleTwoParamFunctionNames.forEach(name =>
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describe(name, () => {
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test(`${name}(var, const, const).invert()`, () => {
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const formula = Formula[name](variable, constant, constant);
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const result = formula.evaluate();
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expect(formula.invert(result)).compare_tolerance(2);
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});
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test(`${name}(const, var, const).invert()`, () => {
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const formula = Formula[name](constant, variable, constant);
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const result = formula.evaluate();
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expect(formula.invert(result)).compare_tolerance(2);
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});
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test(`${name}(const, const, var).invert()`, () => {
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const formula = Formula[name](constant, constant, variable);
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const result = formula.evaluate();
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expect(formula.invert(result)).compare_tolerance(2);
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});
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})
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);
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});
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});
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describe("Step-wise", () => {
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let variable: GenericFormula;
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let constant: GenericFormula;
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beforeAll(() => {
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variable = Formula.variable(10);
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constant = Formula.constant(10);
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});
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test("Formula without variable is marked as such", () => {
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expect(Formula.step(constant, 10, value => Formula.sqrt(value)).isInvertible()).toBe(true);
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expect(Formula.step(constant, 10, value => Formula.sqrt(value)).hasVariable()).toBe(false);
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});
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test("Formula with variable is marked as such", () => {
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expect(Formula.step(variable, 10, value => Formula.sqrt(value)).isInvertible()).toBe(true);
|
|
expect(Formula.step(variable, 10, value => Formula.sqrt(value)).hasVariable()).toBe(true);
|
|
});
|
|
|
|
test("Non-invertible formula modifier marks formula as such", () => {
|
|
expect(Formula.step(constant, 10, value => Formula.abs(value)).isInvertible()).toBe(false);
|
|
expect(Formula.step(constant, 10, value => Formula.abs(value)).hasVariable()).toBe(false);
|
|
});
|
|
|
|
test("Formula modifiers with variables mark formula as non-invertible", () => {
|
|
expect(
|
|
Formula.step(constant, 10, value => Formula.add(value, variable)).isInvertible()
|
|
).toBe(false);
|
|
expect(
|
|
Formula.step(constant, 10, value => Formula.add(value, variable)).hasVariable()
|
|
).toBe(false);
|
|
});
|
|
|
|
describe("Pass-through underneath start", () => {
|
|
test("Evaluates correctly", () =>
|
|
expect(
|
|
Formula.step(constant, 20, value => Formula.sqrt(value)).evaluate()
|
|
).compare_tolerance(10));
|
|
test("Inverts correctly with variable in input", () =>
|
|
expect(
|
|
Formula.step(variable, 20, value => Formula.sqrt(value)).invert(10)
|
|
).compare_tolerance(10));
|
|
});
|
|
|
|
describe("Evaluates correctly beyond start", () => {
|
|
test("Evaluates correctly", () =>
|
|
expect(
|
|
Formula.step(variable, 8, value => Formula.add(value, 2)).evaluate()
|
|
).compare_tolerance(12));
|
|
test("Inverts correctly", () =>
|
|
expect(
|
|
Formula.step(variable, 8, value => Formula.add(value, 2)).invert(12)
|
|
).compare_tolerance(10));
|
|
});
|
|
});
|
|
|
|
describe("Conditionals", () => {
|
|
let variable: GenericFormula;
|
|
let constant: GenericFormula;
|
|
beforeAll(() => {
|
|
variable = Formula.variable(10);
|
|
constant = Formula.constant(10);
|
|
});
|
|
|
|
test("Formula without variable is marked as such", () => {
|
|
expect(Formula.if(constant, true, value => Formula.sqrt(value)).isInvertible()).toBe(true);
|
|
expect(Formula.if(constant, true, value => Formula.sqrt(value)).hasVariable()).toBe(false);
|
|
});
|
|
|
|
test("Formula with variable is marked as such", () => {
|
|
expect(Formula.if(variable, true, value => Formula.sqrt(value)).isInvertible()).toBe(true);
|
|
expect(Formula.if(variable, true, value => Formula.sqrt(value)).hasVariable()).toBe(true);
|
|
});
|
|
|
|
test("Non-invertible formula modifier marks formula as such", () => {
|
|
expect(Formula.if(constant, true, value => Formula.abs(value)).isInvertible()).toBe(false);
|
|
expect(Formula.if(constant, true, value => Formula.abs(value)).hasVariable()).toBe(false);
|
|
});
|
|
|
|
test("Formula modifiers with variables mark formula as non-invertible", () => {
|
|
expect(
|
|
Formula.if(constant, true, value => Formula.add(value, variable)).isInvertible()
|
|
).toBe(false);
|
|
expect(
|
|
Formula.if(constant, true, value => Formula.add(value, variable)).hasVariable()
|
|
).toBe(false);
|
|
});
|
|
|
|
describe("Pass-through with condition false", () => {
|
|
test("Evaluates correctly", () =>
|
|
expect(
|
|
Formula.if(constant, false, value => Formula.sqrt(value)).evaluate()
|
|
).compare_tolerance(10));
|
|
test("Inverts correctly with variable in input", () =>
|
|
expect(
|
|
Formula.if(variable, false, value => Formula.sqrt(value)).invert(10)
|
|
).compare_tolerance(10));
|
|
});
|
|
|
|
describe("Evaluates correctly with condition true", () => {
|
|
test("Evaluates correctly", () =>
|
|
expect(
|
|
Formula.if(variable, true, value => Formula.add(value, 2)).evaluate()
|
|
).compare_tolerance(12));
|
|
test("Inverts correctly", () =>
|
|
expect(
|
|
Formula.if(variable, true, value => Formula.add(value, 2)).invert(12)
|
|
).compare_tolerance(10));
|
|
});
|
|
});
|
|
|
|
describe("Custom Formulas", () => {
|
|
describe("Formula with just one input", () => {
|
|
let formula: GenericFormula;
|
|
beforeAll(() => {
|
|
formula = new Formula([10]);
|
|
});
|
|
test("Is not invertible", () => expect(formula.isInvertible()).toBe(false));
|
|
test("Is not marked as having a variable", () => expect(formula.hasVariable()).toBe(false));
|
|
test("Evaluates correctly", () => expect(formula.evaluate()).compare_tolerance(10));
|
|
test("Invert is pass-through", () => expect(formula.invert(20)).compare_tolerance(20));
|
|
});
|
|
|
|
describe("Formula with non-one inputs without required other params", () => {
|
|
test("Zero inputs throws", () => expect(() => new Formula([])).toThrow());
|
|
test("Two inputs throws", () => expect(() => new Formula([1, 2])).toThrow());
|
|
test("Zero inputs and invert throws", () =>
|
|
expect(() => new Formula([], undefined, value => value)).toThrow());
|
|
test("Two inputs and invert throws", () =>
|
|
expect(() => new Formula([1, 2], undefined, value => value)).toThrow());
|
|
test("Zero inputs and evaluate and hasVariable throws", () =>
|
|
expect(() => new Formula([], () => 10, undefined, true)).toThrow());
|
|
test("Two inputs and evaluate and hasVariable throws", () =>
|
|
expect(() => new Formula([1, 2], () => 10, undefined, true)).toThrow());
|
|
});
|
|
|
|
describe("Formula with evaluate", () => {
|
|
test("Zero input evaluates correctly", () =>
|
|
expect(new Formula([], () => 10).evaluate()).compare_tolerance(10));
|
|
test("One input evaluates correctly", () =>
|
|
expect(new Formula([1], value => value).evaluate()).compare_tolerance(1));
|
|
test("Two inputs evaluates correctly", () =>
|
|
expect(new Formula([1, 2], (v1, v2) => v1).evaluate()).compare_tolerance(1));
|
|
});
|
|
|
|
describe("Formula with invert", () => {
|
|
test("Zero input inverts correctly", () =>
|
|
expect(new Formula([], undefined, value => value).invert(10)).compare_tolerance(10));
|
|
test("One input inverts correctly", () =>
|
|
expect(new Formula([1], undefined, (value, v1) => v1).invert(10)).compare_tolerance(1));
|
|
test("Two inputs inverts correctly", () =>
|
|
expect(
|
|
new Formula([1, 2], undefined, (value, v1, v2) => v2).invert(10)
|
|
).compare_tolerance(2));
|
|
});
|
|
|
|
test("Formula with hasVariable", () => {
|
|
const formula = new Formula([], undefined, value => value, true);
|
|
expect(formula.isInvertible()).toBe(true);
|
|
expect(formula.hasVariable()).toBe(true);
|
|
});
|
|
});
|